102210022217 has 2 divisors, whose sum is σ = 102210022218. Its totient is φ = 102210022216.

The previous prime is 102210022183. The next prime is 102210022219. The reversal of 102210022217 is 712220012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60213307456 + 41996714761 = 245384^2 + 204931^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210022217 - 2¹² = 102210018121 is a prime.

It is a super-3 number, since 3×102210022217³ (a number of 34 digits) contains 333 as substring.

Together with 102210022219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102210022219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105011108 + 51105011109.

It is an arithmetic number, because the mean of its divisors is an integer number (51105011109).

Almost surely, 2^102210022217 is an apocalyptic number.

It is an amenable number.

102210022217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210022217 is an equidigital number, since it uses as much as digits as its factorization.

102210022217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 102210022217 its reverse (712220012201), we get a palindrome (814430034418).

The spelling of 102210022217 in words is "one hundred two billion, two hundred ten million, twenty-two thousand, two hundred seventeen".